数学科学研究所研讨班

发布时间2025-12-14文章来源 上海科技大学作者责任编辑系统管理员

主讲人学术背景:刘永强,中国科学技术大学几何与物理研究中心特任教授。研究领域为代数几何和代数拓扑,主要研究方向是代数簇奇异点的拓扑及Hodge理论。已在Adv. Math,Crelle和Math. Ann等国际数学杂志上发表多篇论文。
讲座题目:Kahler weighted right-angled Artin group
讲座摘要:It is a question of Serre to characterize finitely presented groups that can serve as the fundamental group of a compact Kahler manifold, called the Kahler groups. Dimca, Papadima and Suciu classified the Kahler groups in the class of right-angled Artin groups in 2009. We classify the Kahler groups contained in the class of weighted right-angled Artin groups. This class of groups comes from the edge-weighted finite simple graphs and is a natural generalization of the right-angled Artin groups. The proof uses tropical geometry and BNS invariants. This talk is based on a joint work with Yuan Liu.